TSTP Solution File: SWC007+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC007+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CkiADhc8Np true

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:28:26 EDT 2023

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   36 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   86 (  37 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  208 (  51   ~;  39   |;   8   &; 100   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  30   !;   6   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(nil_type,type,
    nil: $i ).

thf(app_type,type,
    app: $i > $i > $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( nil != W )
                    | ( V != X )
                    | ( U != W )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ( ( app @ Y @ X1 )
                                  = U )
                                & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                  = V )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssList @ Y ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( nil != W )
                      | ( V != X )
                      | ( U != W )
                      | ? [Y: $i] :
                          ( ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ( ( app @ Y @ X1 )
                                    = U )
                                  & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                    = V )
                                  & ( ssList @ X1 ) )
                              & ( ssList @ Z ) )
                          & ( ssList @ Y ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl29,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144,plain,
    ssList @ sk__5,
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl28]) ).

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl22_001,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(ax28,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ nil @ U )
        = U ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X2 )
       != sk__4 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
       != sk__5 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    nil = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    sk__4 = nil,
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl27]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X2 )
       != nil )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
       != sk__5 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl141]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ X0 @ X1 )
       != sk__5 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X1 )
      | ( ( app @ nil @ X1 )
       != nil )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl163]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl4,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ X0 @ X1 )
       != sk__5 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ nil @ X1 )
       != nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl4]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ nil @ X1 )
       != nil )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ X1 )
       != sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl171]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ( nil != nil )
      | ~ ( ssList @ nil )
      | ( ( app @ X0 @ nil )
       != sk__5 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl172]) ).

thf(zip_derived_cl4_002,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl4_003,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ( nil != nil )
      | ( ( app @ X0 @ nil )
       != sk__5 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl4,zip_derived_cl4]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X0 @ nil )
       != sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl195]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i] :
      ( ( X0 != sk__5 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl196]) ).

thf(zip_derived_cl203,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( X0 != sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl199]) ).

thf(zip_derived_cl214,plain,
    sk__5 != sk__5,
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl203]) ).

thf(zip_derived_cl215,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl214]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC007+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CkiADhc8Np true
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 15:18:24 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.50/0.62  % Total configuration time : 435
% 0.50/0.62  % Estimated wc time : 1092
% 0.50/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % Solved by fo/fo3_bce.sh.
% 0.55/0.73  % BCE start: 31
% 0.55/0.73  % BCE eliminated: 0
% 0.55/0.73  % PE start: 31
% 0.55/0.73  logic: eq
% 0.55/0.73  % PE eliminated: 0
% 0.55/0.73  % done 26 iterations in 0.019s
% 0.55/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.73  % SZS output start Refutation
% See solution above
% 0.55/0.73  
% 0.55/0.73  
% 0.55/0.73  % Terminating...
% 1.43/0.84  % Runner terminated.
% 1.43/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------